Proximal point algorithms for finding common fixed points of a finite family of quasi-nonexpansive multi-valued mappings in real Hilbert spaces

DOI10.1007/s11784-018-0590-xOpenAlexW2807852770MaRDI QIDQ1615308

Jukrapong Tiammee, Withun Phuengrattana

Publication date: 30 October 2018

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-018-0590-x

zbMATH Keywords

fixed pointHilbert spacesproximal point algorithmquasi-nonexpansive multi-valued mapping

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical methods for variational inequalities and related problems (65K15)

Related Items

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Uses Software

• UNLocBoX

Cites Work

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• A proximal point algorithm converging strongly for general errors
• Fixed point theory for a class of generalized nonexpansive mappings
• Common fixed point results in CAT(0) spaces
• Projection and proximal point methods: Convergence results and counterexamples.
• Convergence of generalized proximal point algorithms
• Weak and strong convergence theorems for maximal monotone operators in a Banach space
• Convex functionals and generalized harmonic maps into spaces of non positive curvature
• The proximal point algorithm in metric spaces
• The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces
• Proximal Splitting Methods in Signal Processing
• On the Convergence of the Proximal Point Algorithm for Convex Minimization
• Monotone Operators and the Proximal Point Algorithm
• Proximal point algorithms involving fixed point of nonspreading-type multivalued mappings in Hilbert spaces
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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